All Calculus 3 Resources
Example Question #1 : Vector Subtraction
Find the difference
The difference of two vectors and is defined as
For the two vectors
The difference is
Example Question #2 : Vector Subtraction
Given the vectors
Given the vectors
we can find the difference by subtracting component-wise
Example Question #3 : Vector Subtraction
Perform the following operation on the vectors specified below:
First, multiply out the vectors by their corresponding coefficients:
Now we simply subtract the two vectors:
Example Question #4 : Vector Subtraction
Subtract the vectors and .
Set up an expression to subtract the vectors.
Be sure to make note of the sign change when subtracting the vectors.
Simplify the vector.
The answer is:
Example Question #5 : Vector Subtraction
Find the difference, , of the two vectors.
To find the difference, , we distribute the minus sign and turn it into vector addition.
The sum of two vectors is defined as
The sum of two vectors
is defined as
As such, the difference is
Example Question #6 : Vector Subtraction
Compute the following: .
The formula for subtracting vectors is . Plugging in the values we were given, we get
Example Question #7 : Vector Subtraction
To subtract vectors, we simply subtract their respective components:
Note that our result is a vector still.
Example Question #8 : Vector Subtraction
Find the difference between and .
The formula for the difference of vectors is
Using the vectors given, we get
Example Question #9 : Vector Subtraction
Compute the following operation: .
The formula for subtracting vectors a and b is
Plugging in the values we were given, we get
Example Question #10 : Vector Subtraction
Perform the following vector operation:
The formula for the difference of vectors and is . Using the vectors from the problem statement, we get